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Related papers: Evaluating Feasibility within Power Flow

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The power flow equations are fundamental to power system planning, analysis, and control. However, the inherent non-linearity and non-convexity of these equations present formidable obstacles in problem-solving processes. To mitigate these…

Optimization and Control · Mathematics 2024-11-15 Paprapee Buason , Sidhant Misra , Jean-Paul Watson , Daniel K. Molzahn

The AC Optimal Power Flow (AC-OPF) is a key building block in many power system applications. It determines generator setpoints at minimal cost that meet the power demands while satisfying the underlying physical and operational…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Minas Chatzos , Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

Nonlinear power flow constraints render a variety of power system optimization problems computationally intractable. Emerging research shows, however, that the nonlinear AC power flow equations can be successfully modeled using Neural…

Machine Learning · Computer Science 2021-11-01 Alyssa Kody , Samuel Chevalier , Spyros Chatzivasileiadis , Daniel Molzahn

The construction of a cost minimal network for flows obeying physical laws is an important problem for the design of electricity, water, hydrogen, and natural gas infrastructures. We formulate this problem as a mixed-integer non-linear…

Optimization and Control · Mathematics 2025-03-31 Pascal Börner , Max Klimm , Annette Lutz , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

Many practical planning and operational applications in power systems require simultaneous consideration of a large number of operating conditions or Multi-Scenario AC-Optimal Power Flow (MS-AC-OPF) solution. However, when the number of…

Optimization and Control · Mathematics 2019-05-28 Vladimir Frolov , Line Roald , Michael Chertkov

Power systems solvers are vital tools in planning, operating, and optimizing electrical distribution networks. The current generation of solvers employ computationally expensive iterative methods to compute sequential solutions. To…

Systems and Control · Electrical Eng. & Systems 2020-01-07 Siobhan Powell , Alyona Ivanova , David Chassin

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

Fluid Dynamics · Physics 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

Optimization and Control · Mathematics 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

This paper presents a scalable method for improving the solutions of AC Optimal Power Flow (AC OPF) with respect to deviations in predicted power injections from wind and other uncertain generation resources. The focus of the paper is on…

Systems and Control · Computer Science 2019-01-10 Miles Lubin , Yury Dvorkin , Line Roald

Extracting the optimal amount of power from an array of tidal turbines requires an intricate understanding of tidal dynamics and the effects of turbine placement on the local and regional scale flow. Numerical models have contributed…

Fluid Dynamics · Physics 2016-02-01 Christian T. Jacobs , Matthew D. Piggott , Stephan C. Kramer , Simon W. Funke

We consider a robust optimization problem in an electric power system under uncertain demand and availability of renewable energy resources. Solving the deterministic alternating current optimal power flow (ACOPF) problem has been…

Optimization and Control · Mathematics 2021-02-16 Chaithanya Bandi , Krishnamurthy Dvijotham , David Morton , Haoxiang Yang

Alternating-Current Optimal Power Flow (AC-OPF) is framed as a NP-hard non-convex optimization problem that solves for the most economical dispatch of grid generation given the AC-network and device constraints. Although there are no…

Optimization and Control · Mathematics 2023-08-29 Amritanshu Pandey , Aayushya Agarwal , Larry Pileggi

Reinforcement learning has by now become well established in finding excellent flow control strategies for a variety of scenarios. Existing literature has focused on using a simple two-jet solution (and variants there-of) or a…

Fluid Dynamics · Physics 2026-04-30 Rohan Kaushik , Anna Schwarz , Andrea Beck

In the near future, point-to-point High Voltage Direct Current (HVDC) systems are expected to evolve into multi-terminal and meshed HVDC grids, predominantly adopting a bipolar HVDC configuration. Normally, bipolar HVDC systems operate in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Chandra Kant Jat , Francesco Giacomo Puricelli , Jef Beerten , Hakan Ergun , Dirk Van Hertem

In recent years, several applications have been proposed in the context of distribution networks. Many of these can be formulated as an optimal power flow problem, a mathematical optimization program which includes a model of the…

Optimization and Control · Mathematics 2023-08-23 Sander Claeys , Frederik Geth , Geert Deconinck

This two-part tutorial dives into the field of data-driven power flow linearization (DPFL), a domain gaining increased attention. DPFL stands out for its higher approximation accuracy, wide adaptability, and better ability to implicitly…

Machine Learning · Computer Science 2024-07-04 Mengshuo Jia , Gabriela Hug , Ning Zhang , Zhaojian Wang , Yi Wang , Chongqing Kang

Water and power systems are increasingly interdependent due to the growing number of electricity-driven water facilities. The security of one system can be affected by a contingency in the other system. This paper investigates a…

Systems and Control · Electrical Eng. & Systems 2022-01-27 Mostafa Goodarzi , Qifeng Li

This paper explores solutions to linearized powerflow equations with bus-voltage phasors represented in rectangular coordinates. The key idea is to solve for complex-valued perturbations around a nominal voltage profile from a set of linear…

Systems and Control · Computer Science 2015-12-23 Sairaj V. Dhople , Swaroop S. Guggilam , Yu Christine Chen

This paper considers unbalanced multiphase distribution systems with generic topology and different load models, and extends the Z-bus iterative load-flow algorithm based on a fixed-point interpretation of the AC load-flow equations.…

Optimization and Control · Mathematics 2018-04-04 Andrey Bernstein , Cong Wang , Emiliano Dall'Anese , Jean-Yves Le Boudec , Changhong Zhao

This paper proposes a new linear power flow model for distribution system with accurate voltage magnitude estimates. The new model can be seen as a generalization of LinDistFlow model to multiphase distribution system with generic network…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Jianqiao Huang , Bai Cui , Xinyang Zhou , Andrey Bernstein